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Free_Kalibri [48]
3 years ago
8

A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2.

Mathematics
1 answer:
Leni [432]3 years ago
3 0

ANSWER

The maximum value is 625

EXPLANATION

The height of the stick that the bird dropped is modeled by the function;

f(x) = 625 - 16x^2

This function is already in the vertex form.

Let me rewrite it clearly for you to see.

f(x) = - 16(x - 0)^2 + 625

When we compare this to;

f(x)=a(x-h)^2+k

we have h=0 and k=625.

k=625 is the y-value of the vertex.

This is the maximum value on the graph of this function.

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aleksklad [387]

Answer:

The third figure is the answer (Look to the attached figure

Step-by-step explanation:

* The point of symmetry means

- If a figure or graph can be rotated 180° about a point P

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- The same distance from the central point

  but in the opposite direction.

* Lets look to the four answers

- In the 3rd figure first line up can be rotated 180° about a point P

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- The same distance from the point  p

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* The figure show the answer

8 0
3 years ago
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uysha [10]

Answer:

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6 0
2 years ago
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Stella [2.4K]

23

Step-by-step explanation:

f(3) =  {(3)}^{2}  + 3(3) - 7 = 9 + 9 - 7 \\  = 18 -  7 = 11

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6 0
2 years ago
Describe the graph of the function. y = |x – 4| – 7
Lemur [1.5K]

Answer:

This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x

Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Step-by-step explanation:

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3 years ago
Solve for x. 15x + 6 = 10x + 21 x = -5 x = 5 x = 3 x = 5
klio [65]
Move all the x terms to one side and solve for x. 15x-10x=21-6 : 5x/5=15/5 : x=3
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